Triangle Classification: Is This an Acute-Angled Triangle?

Is the triangle in the drawing an acute-angled triangle?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Determine whether the triangle is acute-angled
00:03 Proceed to examine all the angles
00:06 All of them are less than 90 degrees, therefore the triangle is acute-angled, and that's the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Is the triangle in the drawing an acute-angled triangle?

2

Step-by-step solution

To solve this problem, we'll analyze the key features of an acute-angled triangle and determine if the triangle in the drawing fits this classification.

Definition Review: An acute-angled triangle is a triangle where all interior angles are less than 9090^\circ. This implies examining the geometric structure to ensure no angles exceed or equal 9090^\circ.

Steps for Verification:

  • Analyze whether changes in angles can lead to right or obtuse angles.
  • Check features such as side length variations that help confirm this in various geometries.
  • Consider symmetry or specific style if indicated in a complete or symmetrical manner supporting acute settings.

Conclusion:
Upon analysis of these guiding factors and geometric principles relevant to acute-angled triangles, and considering configurations leading to all sharp interior angles, we conclude: Yes, the triangle is acute-angled.

3

Final Answer

Yes

Practice Quiz

Test your knowledge with interactive questions

In a right triangle, the side opposite the right angle is called....?

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Triangle questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime

More Questions

Click on any question to see the complete solution with step-by-step explanations